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Finding the Fourth Proportional to 173,857.70, 260,786.55 and 102,707.30

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Solution

The fourth proportional to 173,857.70, 260,786.55 and 102,707.30 is: 154,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,857.70 : 260,786.55 = 102,707.30 : x
  2. Step 2: Convert to fraction form
    173,857.70/260,786.55 = 102,707.30/x
  3. Step 3: Cross multiply
    173,857.70x = 260,786.55 × 102,707.30
  4. Step 4: Simplify right side
    173,857.70x = 26,784,682,426.82
  5. Step 5: Solve for x
    x = 26,784,682,426.82/173,857.70
  6. Step 6: Final answer
    x = 154,060.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.